Algebra 1 Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation 6 - 3a = 21?

Back

The first step is to isolate the term with the variable by subtracting 6 from both sides, resulting in -3a = 15.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 4x + 10 = -26?

Back

The solution is x = -9.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve the equation 2b + 3 = 9. What is b?

Back

b = 3.

Front

What is the solution to the equation 96 = 6(k + 8)?

Back

The solution is k = 8.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.